What is the value of 4! (factorial)?

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Prepare for the ASVAB Arithmetic Reasoning Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

What is the value of 4! (factorial)?

Explanation:
To determine the value of 4! (read as "four factorial"), you need to understand what a factorial represents. The factorial of a non-negative integer n is the product of all positive integers from 1 up to n. For 4!, you calculate it as follows: 4! = 4 × 3 × 2 × 1. Now, let's break this down step-by-step: - Start with 4: 4 - Multiply by 3: 4 × 3 = 12 - Multiply by 2: 12 × 2 = 24 - Finally, multiply by 1: 24 × 1 = 24 Thus, 4! equals 24. This operation illustrates how factorials grow quickly as the number increases, as you multiply together increasingly larger integers. Therefore, the correct answer is 24, which is why this choice is the right one.

To determine the value of 4! (read as "four factorial"), you need to understand what a factorial represents. The factorial of a non-negative integer n is the product of all positive integers from 1 up to n.

For 4!, you calculate it as follows:

4! = 4 × 3 × 2 × 1.

Now, let's break this down step-by-step:

  • Start with 4: 4

  • Multiply by 3: 4 × 3 = 12

  • Multiply by 2: 12 × 2 = 24

  • Finally, multiply by 1: 24 × 1 = 24

Thus, 4! equals 24. This operation illustrates how factorials grow quickly as the number increases, as you multiply together increasingly larger integers.

Therefore, the correct answer is 24, which is why this choice is the right one.

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